APMO 1990 Problem 1
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Given triangle $ABC$, let $D, E, F$ be the midpoints of $BC, AC, AB$ respectively and let $G$ be the centroid of the triangle. For each value of $\angle BAC$, how many non-similar triangles are there in which $AEGF$ is a cyclic quadrilateral?
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- nafistiham
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Re: APMO 1990 Problem 1
what are all the triangles ?
\[\sum_{k=0}^{n-1}e^{\frac{2 \pi i k}{n}}=0\]
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Re: APMO 1990 Problem 1
You have to find out (with proof) for any value of $\angle A$ how many non similar triangle have the property $AEGF$ is cyclic.
You spin my head right round right round,
When you go down, when you go down down......(-$from$ "$THE$ $UGLY$ $TRUTH$" )
When you go down, when you go down down......(-$from$ "$THE$ $UGLY$ $TRUTH$" )
Re: APMO 1990 Problem 1
Okay, as no reply is being posted, I'd post mine. This is quite ugly, and I'd love to see a beautiful solution.
If any part is not clear enough to you, please let me know.
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Use $L^AT_EX$, It makes our work a lot easier!
Nur Muhammad Shafiullah | Mahi
Use $L^AT_EX$, It makes our work a lot easier!
Nur Muhammad Shafiullah | Mahi